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Finding the Fourth Proportional to 531,191.34, 733,025.43 and 289,468.98

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Solution

The fourth proportional to 531,191.34, 733,025.43 and 289,468.98 is: 399,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,191.34 : 733,025.43 = 289,468.98 : x
  2. Step 2: Convert to fraction form
    531,191.34/733,025.43 = 289,468.98/x
  3. Step 3: Cross multiply
    531,191.34x = 733,025.43 × 289,468.98
  4. Step 4: Simplify right side
    531,191.34x = 212,188,123,536.16
  5. Step 5: Solve for x
    x = 212,188,123,536.16/531,191.34
  6. Step 6: Final answer
    x = 399,457.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.